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Some Characterizations of Complete Hausdorff KM-Fuzzy Quasi-Metric Spaces
, 2023 Gregori and Romaguera introduced, in 2004, the notion of a KM-fuzzy quasi-metric space as a natural asymmetric generalization of the concept of fuzzy metric space in the sense of Kramosil and Michalek.
Salvador Romaguera
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Fuzzy Isometry and Standard Modular Structures in Modular Fuzzy Metric Spaces
Muthanna Journal of Pure ScienceThis paper investigates the relationship between modular metric spaces and modular fuzzy metric spaces by introducing and studying the concept of the standard modular fuzzy metric space.
Mohammed Jawad Kadhim
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Common Fixed Point Theorems in a New Fuzzy Metric Space
Journal of Applied Mathematics, 2012 We generalize the Hausdorff fuzzy metric in the sense of Rodríguez-López and Romaguera, and we introduce a new M∞-fuzzy metric, where M∞-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real ...
Weiquan Zhang +3 more
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Caristi's fixed point theorem and its equivalences in fuzzy metric spaces [PDF]
, 2016 summary:In this article, we extend Caristi's fixed point theorem, Ekeland's variational principle and Takahashi's maximization theorem to fuzzy metric spaces in the sense of George and Veeramani [A. George , P.
Abbasi, Naser, Mottaghi Golshan, Hamid
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Convergence in Fuzzy Semi-Metric Spaces
Mathematics, 2018 The convergence using the fuzzy semi-metric and dual fuzzy semi-metric is studied in this paper. The infimum type of dual fuzzy semi-metric and the supremum type of dual fuzzy semi-metric are proposed in this paper. Based on these two types of dual fuzzy
Hsien-Chung Wu
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On fixed figure problems in fuzzy metric spaces [PDF]
, 2023 summary:Fixed circle problems belong to a realm of problems in metric fixed point theory. Specifically, it is a problem of finding self mappings which remain invariant at each point of the circle in the space.
Martínez-Moreno, Juan +2 more
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Fixed-Point Results Related to b-Intuitionistic Fuzzy Metric Space
Journal of Function Spaces, 2022 In this study, we contribute to the terminological debate about various fixed-point results’ use of the term intuitionistic fuzzy b-metric space in defining the structure based on fuzzy sets.
Mohamed Altanji +4 more
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Fuzzy soft metric and fuzzifying soft topology induced by fuzzy soft metric
Filomat, 2019 Our main goal with this paper is to construct soft topology and fuzzifying soft topology induced by fuzzy soft metric. For this, we present fuzzy soft metric spaces compatible to soft set theory and studied some of its basic properties. Then we investigate soft topological structures induced by fuzzy soft metrics.
AYGÜNOĞLU, ABDÜLKADİR +2 more
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Fuzzy Metrics in Terms of Fuzzy Relations
Mathematics, 2023 In this paper, we study the concept of fuzzy metrics from the perspective of fuzzy relations. Specifically, we analyze the commonly used definitions of fuzzy metrics. We begin by noting that crisp metrics can be uniquely characterized by linear order relations.
Olga Grigorenko, Alexander Šostak
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Metric Relations in the Fuzzy Right Triangle
, 2023 The study of fuzzy geometry and its different components has grown in recent years, establishing the formal foundations for its development. This paper is devoted to addressing some metric relations in the fuzzy right triangle; in particular, a version ...
Ronald Manríquez
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